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The result is 86.
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To evaluate the expression \( 6 + 4^{2} \cdot 5 \), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). 1. Calculate the exponent: \( 4^{2} = 16 \). 2. Next, multiply: \( 16 \cdot 5 = 80 \). 3. Finally, add: \( 6 + 80 = 86 \). So, the result is \( 86 \).